# Asymptotic behavior and existence of solutions for singular elliptic equations

21 Sep 2019 Durastanti Riccardo

We study the asymptotic behavior, as $\gamma$ tends to infinity, of solutions for the homogeneous Dirichlet problem associated to singular semilinear elliptic equations whose model is $$-\Delta u=\frac{f(x)}{u^\gamma}\,\text{ in }\Omega,$$ where $\Omega$ is an open, bounded subset of $\RN$ and $f$ is a bounded function. We deal with the existence of a limit equation under two different assumptions on $f$: either strictly positive on every compactly contained subset of $\Omega$ or only nonnegative... (read more)

PDF Abstract

# Code Add Remove Mark official

No code implementations yet. Submit your code now

# Categories

• ANALYSIS OF PDES